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72 UNIT 1 Exploring One-Variable Data

1D Tech Corners

TI-Nspire and other technology instructions are on the book’s website at bfwpub.com/tps7e.
2. Calculating summary statistics Page 62
3. Making boxplots Page 70
© 2024 BFW Publishers PAGES NOT FINAL - For Review Purposes Only - Do Not Copy

SECTION 1D exercises

Measuring Center: The Median 5. Electing the president To become president of the
1. Soccer stars How good was the 2019 U.S. women’s United States, a candidate does not have to receive a
pg 49 soccer team? With players like Carli Lloyd, Alex Morgan, majority of the popular vote, but that candidate does
and Megan Rapinoe, the team put on an impressive have to win a majority of the 538 votes that are cast in
showing en route to winning the 2019 Women’s World the Electoral College. Here is a dotplot of the number
Cup. Here are data on the number of goals scored by the of electoral votes in 2024 for each of the 50 states and
team in 24 games played in the 2019 season: 74 the District of Columbia:

1 1 2 2 1 5 6 3 5 3 13 3
2 2 2 2 2 3 4 3 2 1 3 6
Find the median. 0 5 10 15 20 25 30 35 40 45 50 55
Electoral votes
2. How fuel efficient? The EPA is in charge of determin-
ing and reporting fuel economy ratings for cars. Here (a) Find and interpret the median.

are the EPA estimates of highway gas mileage in miles (b) Without doing any calculations, explain how the mean

per gallon (mpg) for a sample of 21 model-year 2022 and the median of this distribution compare.
midsize cars: 75

(c) Is the value you found in part (a) a statistic or a param-
25 30 27 31 38 26 28 40 25 28 30 eter? Justify your answer.
31 30 30 34 30 31 31 32 48 31 6. Birth rates in Africa One of the important factors in
determining population growth rates is the birth rate in
Find the median. a country. The dotplot shows the birth rates per 1000
individuals (rounded to the nearest whole number) for
Measuring Center: The Mean all 54 African nations in a recent year. 76
3. Goooaaaalll! Refer to Exercise 1.
pg 51

(a) Calculate the mean number of goals scored by the U.S.
women’s soccer team in the 24 games it played during
the 2019 season. 12 18 24 30 36 42 48 54
(b) The one game when the team scored 13 goals is a pos- Birth rate (per 1000 population)

sible outlier in the distribution. Recalculate the mean (a) Find and interpret the median.

number of goals scored by the team in the remaining

23 games. What do you notice? (b) Without doing any calculations, explain how the mean
and the median compare.
4. Average fuel efficiency Refer to Exercise 2. (c) Is the value you found in part (a) a statistic or a param-

(a) Calculate the mean fuel efficiency in the sample of 21 eter? Justify your answer.

model-year 2020 midsize cars. 7. College loans In 2021, college student loan debt in the
United States reached $1.71 trillion. At the time, there

(b) The Toyota Prius, with its 48 mpg fuel efficiency, is were 45.3 million U.S. borrowers with student loan
a possible outlier in the distribution. Recalculate the debt. More than 3 million had loan debts greater than
mean fuel efficiency for the other 20 car models. What $100,000; about 900,000 had loan debts exceeding
do you notice?
$200,000. 77

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